Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Chapter C.3, Problem 64E
To determine
Find the two-way ANOVA.
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An insurance company's cumulative incurred claims for the last 5 accident years are given
in the following table:
Development Year
Accident Year 0
2018
1 2 3 4
245 267 274 289 292
2019
255 276 288 294
2020
265 283 292
2021
263 278
2022
271
It can be assumed that claims are fully run off after 4 years. The premiums received for
each year are:
Accident Year Premium
2018
306
2019
312
2020
318
2021
326
2022
330
You do not need to make any allowance for inflation.
1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method.
(b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method.
2. Comment on the differences in the reserves produced by the methods in Part 1.
To help consumers in purchasing a laptop computer, Consumer Reports calculates an overall test score for each computer tested based upon rating factors such as ergonomics, portability, performance, display, and battery life. Higher overall scores indicate better test results. The following data show the average retail price and the overall score for ten 13-inch models (Consumer Reports website, October 25, 2012).
Brand & Model
Price ($)
Overall Score
Samsung Ultrabook NP900X3C-A01US
1250
83
Apple MacBook Air MC965LL/A
1300
83
Apple MacBook Air MD231LL/A
1200
82
HP ENVY 13-2050nr Spectre XT
950
79
Sony VAIO SVS13112FXB
800
77
Acer Aspire S5-391-9880 Ultrabook
1200
74
Apple MacBook Pro MD101LL/A
1200
74
Apple MacBook Pro MD313LL/A
1000
73
Dell Inspiron I13Z-6591SLV
700
67
Samsung NP535U3C-A01US
600
63
a. Select a scatter diagram with price as the independent variable.
b. What does the scatter diagram developed in part (a) indicate about the relationship…
To the Internal Revenue Service, the reasonableness of total itemized deductions depends on the taxpayer’s adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow.
Adjusted Gross Income ($1000s)
Reasonable Amount ofItemized Deductions ($1000s)
22
9.6
27
9.6
32
10.1
48
11.1
65
13.5
85
17.7
120
25.5
Compute b1 and b0 (to 4 decimals).b1 b0 Complete the estimated regression equation (to 2 decimals). = + x
Predict a reasonable level of total itemized deductions for a taxpayer with an adjusted gross income of $52.5 thousand (to 2 decimals). thousand dollarsWhat is the value, in dollars, of…
Chapter C Solutions
Introductory Statistics (10th Edition)
Ch. C.1 - Define the following terms: a. factor b. levels of...Ch. C.1 - A three-way factorial design has Factor A at 3...Ch. C.1 - A four-way factorial design has Factor A at 2...Ch. C.1 - A three-way factorial design has Factor A at 6...Ch. C.1 - Answer true or false to each of the following...Ch. C.1 - Prob. 8ECh. C.1 - Answer true or false to each of the following...Ch. C.1 - Prob. 10ECh. C.1 - In each of Exercises C.11C.17 identify the...Ch. C.1 - In each of Exercises C.11C.17 identify the...
Ch. C.1 - In each of Exercises C.11C.17 identify the...Ch. C.1 - In each of Exercises C.11C.17 identify the...Ch. C.1 - In each of Exercises C.11C.17 identify the...Ch. C.1 - Prob. 16ECh. C.1 - In each of Exercises C.11C.17 identify the...Ch. C.2 - Consider a 3 4 ANOVA. a. Identify the number of...Ch. C.2 - Consider a 4 2 ANOVA. a. Identify the number of...Ch. C.2 - Prob. 25ECh. C.2 - Prob. 26ECh. C.2 - Prob. 27ECh. C.2 - Prob. 28ECh. C.2 - In two-way ANOVA, identify what we mean by a. a...Ch. C.2 - In two-way ANOVA, what does it mean we have...Ch. C.2 - In Exercises C.31C.33, we have presented partially...Ch. C.2 - Prob. 32ECh. C.2 - Prob. 33ECh. C.2 - Prob. 34ECh. C.2 - State the null and alternative hypotheses for a...Ch. C.2 - Prob. 36ECh. C.2 - In a two-way ANOVA, why is the test for...Ch. C.2 - Prob. 38ECh. C.2 - Prob. 39ECh. C.2 - Prob. 40ECh. C.2 - Prob. 41ECh. C.2 - Referring to Exercise C.38, for which part(s) is...Ch. C.2 - Prob. 43ECh. C.2 - Prob. 44ECh. C.2 - Prob. 45ECh. C.2 - Prob. 46ECh. C.3 - In each of Exercises C.47C.53, we have presented a...Ch. C.3 - In each of Exercises C.47C.53, we have presented a...Ch. C.3 - Prob. 49ECh. C.3 - Prob. 50ECh. C.3 - Prob. 51ECh. C.3 - Prob. 52ECh. C.3 - Prob. 53ECh. C.3 - Prob. 54ECh. C.3 - Prob. 55ECh. C.3 - Prob. 56ECh. C.3 - Prob. 57ECh. C.3 - Prob. 58ECh. C.3 - Prob. 59ECh. C.3 - Prob. 60ECh. C.3 - Prob. 61ECh. C.3 - Prob. 62ECh. C.3 - Prob. 63ECh. C.3 - Prob. 64ECh. C.3 - Prob. 65ECh. C.3 - Prob. 66ECh. C.3 - Prob. 67ECh. C.3 - Prob. 68ECh. C.3 - Prob. 69ECh. C.3 - Prob. 70ECh. C.3 - Prob. 71ECh. C.4 - In an experiment with two factors, A and B, what...Ch. C.4 - If the confidence interval for the difference...Ch. C.4 - Prob. 74ECh. C.4 - Prob. 75ECh. C.4 - Let Factor A have three levels and Factor B have...Ch. C.4 - In Exercises C.77C.83, we have repeated the...Ch. C.4 - Prob. 78ECh. C.4 - In Exercises C.77C.83, we have repeated the...Ch. C.4 - Prob. 80ECh. C.4 - In Exercises C. 77-C.83. we have repeated the...Ch. C.4 - In Exercises C.77C.83, we have repeated the...Ch. C.4 - Prob. 83ECh. C.4 - Household Income. Refer to Exercise C.77. Use the...Ch. C.4 - Prob. 85ECh. C.4 - Prob. 86ECh. C.4 - Highway Signs. Refer to Exercise C.80. Use the...Ch. C.4 - Hospital Stays. Refer to Exercise C.81. Use the...Ch. C.4 - Prob. 89ECh. C.4 - Advertising and Sales. Refer to Exercise C.83. Use...Ch. C.5 - In each of Exercises C.91C.97, identify the...Ch. C.5 - Prob. 92ECh. C.5 - In each of Exercises C.91C.97, identify the...Ch. C.5 - In each of Exercises C.91C.97, identify the...Ch. C.5 - In each of Exercises C.91C.97, identify the...Ch. C.5 - In each of Exercises C.91C.97, identify the...Ch. C.5 - In each of Exercises C.91C.97, identify the...Ch. C.6 - What is the purpose of blocking in a randomized...Ch. C.6 - Prob. 104ECh. C.6 - Prob. 105ECh. C.6 - Prob. 106ECh. C.6 - Answer true or false to the following statements...Ch. C.6 - Prob. 108ECh. C.6 - In randomized block ANOVA, what is meant when we...Ch. C.6 - Prob. 110ECh. C.6 - State the null and alternative hypotheses for a...Ch. C.6 - Identify, give the degrees of freedom for, and...Ch. C.6 - Prob. 113ECh. C.6 - Prob. 114ECh. C.6 - Prob. 115ECh. C.6 - Prob. 116ECh. C.6 - Prob. 117ECh. C.6 - Prob. 118ECh. C.7 - In each of Exercises C.119C.125, we have presented...Ch. C.7 - Prob. 120ECh. C.7 - Prob. 121ECh. C.7 - Prob. 122ECh. C.7 - Prob. 123ECh. C.7 - Prob. 124ECh. C.7 - Prob. 125ECh. C.7 - Prob. 126ECh. C.7 - Prob. 127ECh. C.7 - Prob. 128ECh. C.7 - Prob. 129ECh. C.7 - Prob. 130ECh. C.7 - Prob. 131ECh. C.7 - Penicillin Yields. Refer to Exercise C.121. Use...Ch. C.7 - Prob. 133ECh. C.7 - Battery Lifetimes. Refer to Exercise C.123. Use...Ch. C.7 - Prob. 135ECh. C.7 - Prob. 136ECh. C.7 - Prob. 137ECh. C.7 - Prob. 138ECh. C.7 - Prob. 139ECh. C.7 - Prob. 140ECh. C.7 - Prob. 141ECh. C.7 - Golf Ball Driving Distances. Refer to Exercise...Ch. C.7 - Prob. 143ECh. C.7 - Analgesic Effectiveness. Refer to the analgesic...Ch. C.8 - In a randomized block experiment with treatment...Ch. C.8 - If the confidence interval for the difference...Ch. C.8 - The parameter v for the q-curve in a Tukey...Ch. C.8 - Prob. 148ECh. C.8 - Prob. 149ECh. C.8 - Prob. 150ECh. C.8 - Prob. 151ECh. C.8 - Prob. 152ECh. C.8 - Prob. 153ECh. C.8 - Prob. 154ECh. C.8 - Mileage for Gasoline Brands. Refer to Exercises...Ch. C.8 - Prob. 156ECh. C.8 - Prob. 157ECh. C.8 - Barley Variety Yields. Refer to Exercises C.125...Ch. C.8 - Prob. 159ECh. C.9 - Of which test is the Friedman test a nonparametric...Ch. C.9 - Prob. 161ECh. C.9 - Prob. 162ECh. C.9 - Prob. 163ECh. C.9 - Fill in the following blank: If the null...Ch. C.9 - Prob. 165ECh. C.9 - For a Friedman test to compare the means of six...Ch. C.9 - Prob. 167ECh. C.9 - In each of Exercises C.168C.I74, determine whether...Ch. C.9 - Prob. 169ECh. C.9 - Prob. 170ECh. C.9 - Prob. 171ECh. C.9 - Prob. 172ECh. C.9 - Prob. 173ECh. C.9 - Prob. 174ECh. C.9 - Prob. 175ECh. C.9 - Prob. 176ECh. C.9 - Prob. 177ECh. C.9 - Prob. 178ECh. C.9 - Prob. 179ECh. C.9 - Prob. 180ECh. C.9 - Prob. 181ECh. C - Discuss the differences between a designed...Ch. C - In a complete factorial design, how do you...Ch. C - Prob. 3RPCh. C - Prob. 4RPCh. C - Prob. 5RPCh. C - Prob. 6RPCh. C - Prob. 7RPCh. C - For a two-way ANOVA: a. List and interpret the...Ch. C - Prob. 9RPCh. C - Prob. 10RPCh. C - State the assumptions for a two-way ANOVA and...Ch. C - Prob. 12RPCh. C - Prob. 13RPCh. C - Prob. 14RPCh. C - This problem concerns multiple comparisons. a....Ch. C - Cereal Sales. Refer to Problem 13. Perform...Ch. C - Explain why it is sometimes preferable to employ a...Ch. C - For a randomized block ANOVA: a. List and...Ch. C - Prob. 19RPCh. C - Prob. 20RPCh. C - Prob. 21RPCh. C - Prob. 22RPCh. C - Prob. 23RPCh. C - Prob. 24RPCh. C - Prob. 25RPCh. C - Identify the nonparametric alternative to the...Ch. C - Explain the logic behind the Friedman test.Ch. C - Prob. 28RPCh. C - Prob. 29RPCh. C - Prob. 30RPCh. C - Prob. 31RPCh. C - Prob. 32RPCh. C - Prob. 33RPCh. C - Prob. 34RPCh. C - Prob. 35RPCh. C - Prob. 36RP
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